Results 91 to 100 of about 7,369 (269)
The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
wiley +1 more source
Some sequence spaces defined by Orlicz functions [PDF]
, 2004 summary:In this paper we introduce a new concept of $\lambda $-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces.
Savaş, R., Savaş, E.
core
Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
Criteria for $k_M<\infty$ in Musielak-Orlicz spaces
, 2001 summary:In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\}< \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are ...
Cao, Lianying, Wang, Tingfu
core
Two properties of norms in Orlicz spaces
Le Matematiche, 2001 A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj
Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
, 2015 We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, +3 more
core +1 more source
Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces [PDF]
, 2016 summary:We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak ...
Ohno, Takao, Shimomura, Tetsu
core +1 more source
, 2010 In this manuscript, we investigate the isomorphisms of Orlicz-Kothe sequence spaces and quasidiagonal isomorphisms of Cartesian products of Orlicz-power series ...
Zakharyuta, Vyacheslav +1 more
core +2 more sources
Integration in Orlicz-Bochner Spaces [PDF]
Journal of Function Spaces, 2018 Let (Ω,Σ,μ) be a complete σ-finite measure space, φ be a Young function, and X and Y be Banach spaces. Let Lφ(X) denote the Orlicz-Bochner space, and Tφ∧ denote the finest Lebesgue topology on Lφ(X). We study the problem of integral representation of (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y with respect to the representing operator-valued ...
openaire +3 more sources
Composition of Operators in Orlicz Spaces
Rocky Mountain Journal of Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bongioanni, B., Harboure, E.
openaire +3 more sources